I was Anglican until a couple years ago, and I’m becoming Catholic.
*1) Do you care which specific group you go to, or does any of your favorite demonination do? *
Yes, Anglicans tend, by and large, to prefer Anglican churches which lean towards whatever their preferences are theologically or in terms or service style. Anglican churches can be all over the map theologically, from very conservative to very liberal, but all use one of two particular forms of liturgy. The older form, the Book of Common Prayer, is somewhat like the Novus Ordo in tone and language, minus the saints’ intercessory stuff and the veneration of Mary.
2) Is it really easy to spot the difference between them (by appearance, type of memeber, etc.)?
I’d say the members of a lot of very conservative Protestant denominations sometimes, but not always, are visually distinguishable. Many of them practice modest dress, the women tend to have long hair, and some do headcovvering and only skirts for women. Outside the extremely conservative ones, no real identifying marks. I guess you could pick Catholics out by scapulars or religious medals or something.
The building style can be telling. Anglican and probably Lutheran (don’t have any experience with Lutheran but I know they are Eucharistic and have liturgy) will probably have an altar, and crosses. A lot of Baptist, Presbyterian, Church of Christ churches will have a front area, and a lectern. No altar, very little to no religious imagery.
In terms of service, churches that aren’t Anglican or Lutheran will tend to be more sermon-centred than communion-centred. Charistmatic and evangelical churches will tend to have more free prayer, and a better chance of someone speaking in tongues. The Free Brethren have no liturgy, and women aren’t allowed to lead or pray in service. It’s hard to generalize because ‘Protestant’ is such a huge spectrum.
Within denominations, yes, I do think people care about which branch the church they attend is. A lot of the splits have been theological or over worship styles, and people will tend to follow whichever branch they thinks is most correct, or they are most comfortable within.
3) When you move to a new area, did you have to check out the various churches of your denomination or was the type of church you like to go to obvious just by the group name?
As an Anglican, I would go to Anglican services in the area, and pray for liturgy and good music. I have never been comfortable attending Baptist, Pentecostal, or other mainstream Protestant services because of my attachment to liturgy and hymns. I also wouldn’t attend Anglican churches that had abandoned the Book of Common Prayer.
I haven’t been to enough different Catholic churches yet to spot all the differences. I look forward to exploring.